Finding the Third Proportional to 42,405 and 92,100

Step by Step Solution

1. Step 1: Write the proportion equation
   42,405 : 92,100 = 92,100 : x
2. Step 2: Convert to fraction form
   42,405/92,100 = 92,100/x
3. Step 3: Cross multiply
   42,405x = 92,100 × 92,100
4. Step 4: Simplify right side
   42,405x = 8,482,410,000
5. Step 5: Solve for x
   x = 8,482,410,000/42,405
6. Step 6: Final answer
   x = 200,033.25